Find the area of the shaded shape pls quickly

Question

asked Apr 19, 2023 151k views

2 Answers

Repeat · Answer 1 · 2023-04-24T02:01:27+0000

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Area of shaded region is equal to :

Area of rectangle - Area of two triangles ~

1. Area of rectangle :

$\qquad \sf  \dashrightarrow \: length * width$

$\qquad \sf  \dashrightarrow \: 20 * 15$

$\qquad \sf  \dashrightarrow \: 300 \: \: cm {}^(2)$

2. Area of first triangle :

$\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (base) * (height)$

$\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (20 - 18) * (15)$

$\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (2) * (15)$

$\qquad \sf  \dashrightarrow \: 15 \: \: cm {}^(2)$

3. Area of second triangle :

$\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (base) * (height)$

$\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (6) *(20)$

$\qquad \sf  \dashrightarrow \: 3 * 20$

$\qquad \sf  \dashrightarrow \: 60 \: \: cm {}^(2)$

Area of shaded region is :

$\qquad \sf  \dashrightarrow \: 300 - (15 + 60)$

$\qquad \sf  \dashrightarrow \: 300 - 75$

$\qquad \sf  \dashrightarrow \: 225 \: \: cm {}^(2)$